\newproblem{lay:3_3_1}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 3.3.1}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
	Use Cramer's rule to solve the following equation system
	\begin{center}
		$5x_1+7x_2=3$\\
		$2x_1+4x_2=1$
	\end{center}
}{
   % Solution
	\begin{center}
		$x_1=\frac{\left|\begin{array}{rr} 3 & 7 \\ 1 & 4\end{array}\right|}{\left|\begin{array}{rr} 5 & 7 \\ 2 & 4\end{array}\right|}=
		     \frac{3\cdot 4 - 7\cdot 1}{5\cdot 4 - 7\cdot 2}=\frac{5}{6}$ \\
		$x_2=\frac{\left|\begin{array}{rr} 5 & 3 \\ 2 & 1\end{array}\right|}{\left|\begin{array}{rr} 5 & 7 \\ 2 & 4\end{array}\right|}=
		     \frac{5\cdot 1 - 3\cdot 2}{5\cdot 4 - 7\cdot 2}=-\frac{1}{6}$ \\
	\end{center}
}
\useproblem{lay:3_3_1}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
